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This paper studies the problem of control strategy synthesis for dynamical systems with differential constraints to fulfill a given reachability goal while satisfying a set of safety rules. Particular attention is devoted to goals that…

机器人学 · 计算机科学 2013-11-07 Luis I. Reyes Castro , Pratik Chaudhari , Jana Tumova , Sertac Karaman , Emilio Frazzoli , Daniela Rus

This paper proposes novel algorithm for non-convex multimodal constrained optimisation problems. It is based on sequential solving restrictions of problem to sections of feasible set by random subspaces (in general, manifolds) of low…

最优化与控制 · 数学 2023-03-28 Dmitry A. Pasechnyuk , Alexander Gornov

This paper introduces a local planner that synergizes the decision making and trajectory planning modules towards autonomous driving. The decision making and trajectory planning tasks are jointly formulated as a nonlinear programming…

机器人学 · 计算机科学 2024-12-02 Wenru Liu , Haichao Liu , Lei Zheng , Zhenmin Huang , Jun Ma

Constrained motion planning is a challenging field of research, aiming for computationally efficient methods that can find a collision-free path on the constraint manifolds between a given start and goal configuration. These planning…

机器人学 · 计算机科学 2021-07-06 Ahmed H. Qureshi , Jiangeng Dong , Asfiya Baig , Michael C. Yip

Automated parking is a self-driving feature that has been in cars for several years. Parking assistants in currently sold cars fail to park in more complex real-world scenarios and require the driver to move the car to an expected starting…

机器人学 · 计算机科学 2025-08-28 Jiri Vlasak , Michal Sojka , Zdeněk Hanzálek

We establish an algorithm to learn feedback maps from data for a class of robust model predictive control (MPC) problems. The algorithm accounts for the approximation errors due to the learning directly at the synthesis stage, ensuring…

最优化与控制 · 数学 2025-10-16 Siddhartha Ganguly , Shubham Gupta , Debasish Chatterjee

Reference tracking and obstacle avoidance rank among the foremost challenging aspects of autonomous driving. This paper proposes control designs for solving reference tracking problems in autonomous driving tasks while considering static…

系统与控制 · 电气工程与系统科学 2024-05-06 Maryam Nezami , Dimitrios S. Karachalios , Georg Schildbach , Hossam S. Abbas

Non-convex optimization is a critical tool in advancing machine learning, especially for complex models like deep neural networks and support vector machines. Despite challenges such as multiple local minima and saddle points, non-convex…

机器学习 · 计算机科学 2024-10-04 Greg B Fotopoulos , Paul Popovich , Nicholas Hall Papadopoulos

A key challenge in autonomous driving is that Autonomous Vehicles (AVs) must contend with multiple, often conflicting, planning requirements. These requirements naturally form in a hierarchy -- e.g., avoiding a collision is more important…

机器人学 · 计算机科学 2024-09-18 Matteo Penlington , Alessandro Zanardi , Emilio Frazzoli

Platooning connected and autonomous vehicles (CAVs) provide significant benefits in terms of traffic efficiency and fuel economy. However, most existing platooning systems assume the availability of pre-determined plans, which is not…

系统与控制 · 电气工程与系统科学 2023-08-09 Xi Xiong , Maonan Wang , Dengfeng Sun , Li Jin

This paper addresses the kinodynamic motion planning for non-holonomic robots in dynamic environments with both static and dynamic obstacles -- a challenging problem that lacks a universal solution yet. One of the promising approaches to…

机器人学 · 计算机科学 2023-01-02 Brian Angulo , Aleksandr Panov , Konstantin Yakovlev

The existence of multiple irregular obstacles in the environment introduces nonconvex constraints into the optimization for motion planning, which makes the optimal control problem hard to handle. One efficient approach to address this…

系统与控制 · 电气工程与系统科学 2022-11-10 Xuda Ding , Han Wang , Jianping He , Cailian Chen , Kostas Margellos , Antonis Papachristodoulou

This paper presents a systematic approach for computing local solutions to motion planning problems in non-convex environments using numerical optimal control techniques. It extends the range of use of state-of-the-art numerical optimal…

最优化与控制 · 数学 2017-10-03 Kristoffer Bergman , Daniel Axehill

Most of the optimal guidance problems can be formulated as nonconvex optimization problems, which can be solved indirectly by relaxation, convexification, or linearization. Although these methods are guaranteed to converge to the global…

最优化与控制 · 数学 2024-03-19 Gyubin Park , Jiwoo Choi , Da Hoon Jeong , Jong-Han Kim

Optimization based motion planning provides a useful modeling framework through various costs and constraints. Using Graph of Convex Sets (GCS) for trajectory optimization gives guarantees of feasibility and optimality by representing…

机器人学 · 计算机科学 2025-04-15 Shruti Garg , Thomas Cohn , Russ Tedrake

Real-time motion planning is a vital function of robotic systems. Different from existing roadmap algorithms which first determine the free space and then determine the collision-free path, researchers recently proposed several convex…

机器人学 · 计算机科学 2019-03-01 Chaoyi Sun , Qing Li , Li Li

This paper presents an integrated motion planning system for autonomous vehicle (AV) parking in the presence of other moving vehicles. The proposed system includes 1) a hybrid environment predictor that predicts the motions of the…

机器人学 · 计算机科学 2022-04-28 Jessica Leu , Yebin Wang , Masayoshi Tomizuka , Stefano Di Cairano

The goal of this work is to accelerate the identification of an unknown ARX system from trajectory data through online input design. Specifically, we present an active learning algorithm that sequentially selects the input to excite the…

系统与控制 · 电气工程与系统科学 2025-09-04 Nicolas Chatzikiriakos , Bowen Song , Philipp Rank , Andrea Iannelli

A fundamental issue at the core of trajectory optimization on smooth manifolds is handling the implicit manifold constraint within the dynamics. The conventional approach is to enforce the dynamic model as a constraint. However, we show…

最优化与控制 · 数学 2025-03-18 Spencer Kraisler , Mehran Mesbahi , Behcet Acikmese

Autonomous driving requires reliable collision avoidance in dynamic environments. Nonlinear Model Predictive Controllers (NMPCs) are suitable for this task, but struggle in time-critical scenarios requiring high frequency. To meet this…

系统与控制 · 电气工程与系统科学 2025-12-17 Ricardo Tapia , Iman Soltani